The Global Theory Of Minimal Surfaces In Flat Spaces

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The Global Theory Of Minimal Surfaces In Flat Spaces

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Author : W.H. III Meeks
language : en
Publisher: Springer
Release Date : 2004-10-11

The Global Theory Of Minimal Surfaces In Flat Spaces written by W.H. III Meeks and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-11 with Mathematics categories.

In the second half of the twentieth century the global theory of minimal surface in flat space had an unexpected and rapid blossoming. Some of the classical problems were solved and new classes of minimal surfaces found. Minimal surfaces are now studied from several different viewpoints using methods and techniques from analysis (real and complex), topology and geometry. In this lecture course, Meeks, Ros and Rosenberg, three of the main architects of the modern edifice, present some of the more recent methods and developments of the theory. The topics include moduli, asymptotic geometry and surfaces of constant mean curvature in the hyperbolic space.

The Global Theory Of Minimal Surfaces In Flat Spaces

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Author : W.H. III Meeks
language : en
Publisher: Springer
Release Date : 2014-03-12

The Global Theory Of Minimal Surfaces In Flat Spaces written by W.H. III Meeks and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-12 with Mathematics categories.

In the second half of the twentieth century the global theory of minimal surface in flat space had an unexpected and rapid blossoming. Some of the classical problems were solved and new classes of minimal surfaces found. Minimal surfaces are now studied from several different viewpoints using methods and techniques from analysis (real and complex), topology and geometry. In this lecture course, Meeks, Ros and Rosenberg, three of the main architects of the modern edifice, present some of the more recent methods and developments of the theory. The topics include moduli, asymptotic geometry and surfaces of constant mean curvature in the hyperbolic space.

The Global Theory Of Minimal Surfaces In Flat Spaces

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Author : William H. III. Meeks
language : en
Publisher:
Release Date : 2004

The Global Theory Of Minimal Surfaces In Flat Spaces written by William H. III. Meeks and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.

Minimal Surfaces From A Complex Analytic Viewpoint

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Author : Antonio Alarcón
language : en
Publisher: Springer Nature
Release Date : 2021-03-10

Minimal Surfaces From A Complex Analytic Viewpoint written by Antonio Alarcón and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-10 with Mathematics categories.

This monograph offers the first systematic treatment of the theory of minimal surfaces in Euclidean spaces by complex analytic methods, many of which have been developed in recent decades as part of the theory of Oka manifolds (the h-principle in complex analysis). It places particular emphasis on the study of the global theory of minimal surfaces with a given complex structure. Advanced methods of holomorphic approximation, interpolation, and homotopy classification of manifold-valued maps, along with elements of convex integration theory, are implemented for the first time in the theory of minimal surfaces. The text also presents newly developed methods for constructing minimal surfaces in minimally convex domains of Rn, based on the Riemann–Hilbert boundary value problem adapted to minimal surfaces and holomorphic null curves. These methods also provide major advances in the classical Calabi–Yau problem, yielding in particular minimal surfaces with the conformal structure of any given bordered Riemann surface. Offering new directions in the field and several challenging open problems, the primary audience of the book are researchers (including postdocs and PhD students) in differential geometry and complex analysis. Although not primarily intended as a textbook, two introductory chapters surveying background material and the classical theory of minimal surfaces also make it suitable for preparing Masters or PhD level courses.

The Global Theory Of Minimal Surfaces In Flat Spaces

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Author : Centro Internazionale Matematico Estivo. Session
language : en
Publisher:
Release Date : 2002

The Global Theory Of Minimal Surfaces In Flat Spaces written by Centro Internazionale Matematico Estivo. Session and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.

A Survey On Classical Minimal Surface Theory

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Author : William Meeks
language : en
Publisher: American Mathematical Soc.
Release Date : 2012

A Survey On Classical Minimal Surface Theory written by William Meeks and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.

Meeks and Pérez extend their 2011 survey article "The classical theory of Minimal surfaces" in the Bulletin of the American Mathematical Society to include other recent research results. Their topics include minimal surfaces with finite topology and more than one end, limits of embedded minimal surfaces without local area or curvature bounds, conformal structure of minimal surfaces, embedded minimal surfaces of finite genus, topological aspects of minimal surfaces, and Calabi-Yau problems. There is no index. Annotation ©2013 Book News, Inc., Portland, OR (booknews.com).

Theory Of K Loops

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Author : Hubert Kiechle
language : en
Publisher: Springer
Release Date : 2004-10-12

Theory Of K Loops written by Hubert Kiechle and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-12 with Mathematics categories.

The book contains the first systematic exposition of the current known theory of K-loops, as well as some new material. In particular, big classes of examples are constructed. The theory for sharply 2-transitive groups is generalized to the theory of Frobenius groups with many involutions. A detailed discussion of the relativistic velocity addition based on the author's construction of K-loops from classical groups is also included. The first chapters of the book can be used as a text, the later chapters are research notes, and only partially suitable for the classroom. The style is concise, but complete proofs are given. The prerequisites are a basic knowledge of algebra such as groups, fields, and vector spaces with forms.

Polynomial Representations Of Gl N

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Author : James A. Green
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-11-30

Polynomial Representations Of Gl N written by James A. Green and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-30 with Mathematics categories.

The new corrected and expanded edition adds a special appendix on Schensted Correspondence and Littelmann Paths. This appendix can be read independently of the rest of the volume and is an account of the Littelmann path model for the case gln. The appendix also offers complete proofs of classical theorems of Schensted and Knuth.

Geometric Control And Numerical Aspects Of Nonholonomic Systems

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Author : Jorge Cortés Monforte
language : en
Publisher: Springer
Release Date : 2004-10-19

Geometric Control And Numerical Aspects Of Nonholonomic Systems written by Jorge Cortés Monforte and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-19 with Mathematics categories.

Nonholonomic systems are a widespread topic in several scientific and commercial domains, including robotics, locomotion and space exploration. This work sheds new light on this interdisciplinary character through the investigation of a variety of aspects coming from several disciplines. The main aim is to illustrate the idea that a better understanding of the geometric structures of mechanical systems unveils new and unknown aspects to them, and helps both analysis and design to solve standing problems and identify new challenges. In this way, separate areas of research such as Classical Mechanics, Differential Geometry, Numerical Analysis or Control Theory are brought together in this study of nonholonomic systems.

Characters And Cyclotomic Fields In Finite Geometry

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Author : Bernhard Schmidt
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-10-23

Characters And Cyclotomic Fields In Finite Geometry written by Bernhard Schmidt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-10-23 with Mathematics categories.

This monograph contributes to the existence theory of difference sets, cyclic irreducible codes and similar objects. The new method of field descent for cyclotomic integers of presribed absolute value is developed. Applications include the first substantial progress towards the Circulant Hadamard Matrix Conjecture and Ryser`s conjecture since decades. It is shown that there is no Barker sequence of length l with 13